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Finding the Third Proportional to 157,678 and 251,018

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Solution

The third proportional to 157,678 and 251,018 is: 399,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,678 : 251,018 = 251,018 : x
  2. Step 2: Convert to fraction form
    157,678/251,018 = 251,018/x
  3. Step 3: Cross multiply
    157,678x = 251,018 × 251,018
  4. Step 4: Simplify right side
    157,678x = 63,010,036,324
  5. Step 5: Solve for x
    x = 63,010,036,324/157,678
  6. Step 6: Final answer
    x = 399,612.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.